Anti-windup strategy for linear systems with amplitude and dynamics restricted actuator

This paper addresses the problem of the determination of regions of stability for linear systems with amplitude and successive dynamics restricted actuator through anti-windup strategies. The objective by designing anti-windup gains is to guarantee the stability of the closed-loop system and the respect of the controlled output constraints for a region of admissible initial states as large as possible. Based on the modeling of the closed-loop system resulting from the controller plus the anti-windup loop as a linear system with a dead-zone and dynamics restricted nonlinearities, constructive stability conditions are formulated by using quadratic and Lure approach associated with the Finsler´s lemma. Numerical procedures are discussed.